Algebra Examples

$(7 y^{2} + 12 x y - 5 x^{2}) + (6 x y - 4 y^{2} - 3 x^{2})$

Step 1

Remove parentheses.

$7 y^{2} + 12 x y - 5 x^{2} + 6 x y - 4 y^{2} - 3 x^{2}$

Step 2

Subtract $4 y^{2}$ from $7 y^{2}$ .

$3 y^{2} + 12 x y - 5 x^{2} + 6 x y - 3 x^{2}$

Step 3

Add $12 x y$ and $6 x y$ .

$3 y^{2} - 5 x^{2} + 18 x y - 3 x^{2}$

Step 4

Subtract $3 x^{2}$ from $- 5 x^{2}$ .

$3 y^{2} - 8 x^{2} + 18 x y$

Step 5

Move $3 y^{2}$ .

$- 8 x^{2} + 18 x y + 3 y^{2}$